منابع مشابه
Lower Bounds on Systolic Gossip
Gossiping is an information dissemination process in which each processor has a distinct item of information and has to collect all the items possessed by the other processors. In this paper we derive lower bounds on the gossiping time of systolic protocols, i.e. constituted by a periodic repetition of simple communication steps. In particular, if we denote by n the number of processors in the ...
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We study the stopping times of gossip algorithms fornetwork coding. We analyze algebraic gossip (i.e., random linearcoding) and consider three gossip algorithms for informationspreading: Pull, Push, and Exchange. The stopping time ofalgebraic gossip is known to be linear for the complete graph, butthe question of determining a tight upper bound or lower boundsfor general...
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Let $G$ be a graph with vertex set $V(G)$. For any integer $kge 1$, a signed (total) $k$-dominating functionis a function $f: V(G) rightarrow { -1, 1}$ satisfying $sum_{xin N[v]}f(x)ge k$ ($sum_{xin N(v)}f(x)ge k$)for every $vin V(G)$, where $N(v)$ is the neighborhood of $v$ and $N[v]=N(v)cup{v}$. The minimum of the values$sum_{vin V(G)}f(v)$, taken over all signed (total) $k$-dominating functi...
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Preprocessing (data reduction or kernelization) to reduce instance size is one of the most commonly deployed heuristics in the implementation practice to tackle computationally hard problems. However, a systematic theoretical study of them remained elusive so far. One of the reasons for this is that if an input to an NP -hard problem can be processed in polynomial time to an equivalent one of s...
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The lower bounds on communication complexity measures of language generation by Parallel Communicating Grammar Systems (PCGS) are investigated. The rst result shows that there exists a language that can be generated by some dag-PCGS (PCGS with communication structures realizable by directed acyclic graphs) consisting of 3 grammars, but by no PCGS with tree communication structure. The second re...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 2005
ISSN: 0890-5401
DOI: 10.1016/j.ic.2004.09.002